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1023213213 = 3211192367353
BaseRepresentation
bin111100111111001…
…111111010011101
32122022100121122200
4330333033322131
54043420310323
6245311002113
734233111621
oct7477177235
92568317580
101023213213
11485639260
12246809339
13133ca7009
1499c71181
155ec69443
hex3cfcfe9d

1023213213 has 96 divisors (see below), whose sum is σ = 1802511360. Its totient is φ = 551992320.

The previous prime is 1023213203. The next prime is 1023213229. The reversal of 1023213213 is 3123123201.

It is not a de Polignac number, because 1023213213 - 24 = 1023213197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023213203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2898445 + ... + 2898797.

It is an arithmetic number, because the mean of its divisors is an integer number (18776160).

Almost surely, 21023213213 is an apocalyptic number.

It is an amenable number.

1023213213 is a deficient number, since it is larger than the sum of its proper divisors (779298147).

1023213213 is a wasteful number, since it uses less digits than its factorization.

1023213213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023213213 is about 31987.7040907909. The cubic root of 1023213213 is about 1007.6786254638.

Adding to 1023213213 its reverse (3123123201), we get a palindrome (4146336414).

The spelling of 1023213213 in words is "one billion, twenty-three million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 11 19 23 33 57 67 69 99 171 201 207 209 253 353 437 603 627 737 759 1059 1273 1311 1541 1881 2211 2277 3177 3819 3883 3933 4623 4807 6633 6707 8119 11457 11649 13869 14003 14421 16951 20121 23651 24357 29279 34947 42009 43263 50853 60363 70953 73071 73777 87837 89309 126027 152559 154261 212859 221331 260161 263511 267927 322069 449369 462783 543973 663993 780483 803781 966207 1348107 1388349 1631919 1696871 2341449 2898621 4044321 4895757 4943059 5090613 5983703 10335487 14829177 15271839 17951109 31006461 44487531 53853327 93019383 113690357 341071071 1023213213